SOLVING SYSTEMS OF 3 EQAUTIONS WORKSHEET

Solve the following systems of equations.

Problem 1 :

x - y + z = 5, 3x + 2y - z = -2 and 2x + y + 3z = 10

Problem 2 :

2x + y - z = 3, x - 3y + z = 7 and 3x + 5y - 3z = 10

Problem 3 :

Solve the system.

x + y + z = 2, 2x + y - z = -1 and x + 2z = 5

Problem 4 :

Solve each system.

6x - y + 2z = 8, 2x + 3y - z = -9 and 4x + 2y + 5z = -1

Problem 5 :

5x - 6y + 2z = 21, 2x + 3y - 3z = -9 and -3x + 9y - 4z = -24

Answer Key

1) (x, y, z) = (1, -1, 3).

2) there is no solution.

3) (x, y, z) = (1, -1, 2)

4) (x, y, z) = (3/5, -16/5, 3/5)

5) (x, y, z) = (3, 1, 6).